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Finding the Fourth Proportional to 642.48, 962.28 and 425.76

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Solution

The fourth proportional to 642.48, 962.28 and 425.76 is: 637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 962.28 = 425.76 : x
  2. Step 2: Convert to fraction form
    642.48/962.28 = 425.76/x
  3. Step 3: Cross multiply
    642.48x = 962.28 × 425.76
  4. Step 4: Simplify right side
    642.48x = 409,700.33
  5. Step 5: Solve for x
    x = 409,700.33/642.48
  6. Step 6: Final answer
    x = 637.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.